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" "All mathematics is divided into three parts: cryptography (paid for by CIA, KGB and the like), hydrodynamics (supported by manufacturers of atomic submarines) and celestial mechanics (financed by military and by other institutions dealing with missiles, such as NASA.).
Vladimir Igorevich Arnold (alternative spelling Arnol'd, Russian: Влади́мир И́горевич Арно́льд, 12 June 1937 – 3 June 2010) was a Russian mathematician famous for his work on the KAM theorem regarding the stability of integrable systems, who made important contributions in dynamical systems theory, catastrophe theory, topology, algebraic geometry, symplectic geometry, differential equations, classical mechanics and singularity theory.
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It is almost impossible for me to read contemporary mathematicians who, instead of saying “Petya washed his hands,” write simply: “There is a <math>t_1<0</math> such that the image of <math>t_1</math> under the natural mapping <math>t_1 \mapsto {\rm Petya}(t_1)</math> belongs to the set of dirty hands, and a <math>t_2</math>, <math>t_1<t_2 \leq 0</math>, such that the image of <math>t_2</math> under the above-mentioned mapping belongs to the complement of the set defined in the preceding sentence.”
In the middle of the twentieth century it was attempted to divide physics and mathematics. The consequences turned out to be catastrophic. Whole generations of mathematicians grew up without knowing half of their science and, of course, in total ignorance of any other sciences. They first began teaching their ugly scholastic pseudo-mathematics to their students, then to schoolchildren (forgetting Hardy's warning that ugly mathematics has no permanent place under the Sun).